数学家华罗庚曾说过:数缺形少直观,形缺数难入微.学生在解决数学问题时,若能利用好数与形的关系,定会提高解题的有效性.如何利用图形解决常见的代数问题呢?本文将对此问题进行归纳,整理.一、图形在集合中的应用例1已知函数f(x)=x3-3x+1,x∈R,A={x|t≤x≤t+1},B={x||f(x)|≥1},集合A∩B只有一个元素,求实数t的范围. Mathematician Hua Luogeng once said: the number of lack of shape is less intuitive, the number of missing form is very small. Students in solving mathematical problems, if we can use the relationship between the number and shape, will improve the effectiveness of problem solving. How to use graphics to solve common Algebra problem? This article will summarize the problem. First, the application of graphics in the set Example 1 known function f (x) = x3-3x +1, x∈R, A = {x | t ≤ x≤t + 1}, B = {x || f (x) | ≥1}, and the set A∩B has only one element. Find the range of real numbers t.